GATE EE 2016 Set 2 — Question 14

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MCQ+1 / -0.33MediumLTI, Causal & Stable SystemsLTI SystemsSignals & SystemsFirst-Order EquationsDifferential EquationsEngineering Mathematics

Engineering Mathematics → Differential Equations → First-Order Equations

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Question

Consider a causal LTI system characterized by differential equation dy(t)dt+16y(t)=3x(t)\frac{dy(t)}{dt} + \frac{1}{6} y(t) = 3x(t). The response of the system to the input x(t)=3et3u(t)x(t) = 3e^{-\frac{t}{3}} u(t), where u(t)u(t) denotes the unit step function, is
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